Spacetime singularities urge General Relativity (GR) to evolve. If not in—still elusive—quantum gravity, the singularities in any Riemannian metric based classical theories of gravity have several layers: i) curable, coordinate singularity of the metric, ii) genuine, curvature singularity, and iii) geodesic incompleteness, as featured prominently in Penrose theorem [1]}. Yet, one encounters an intrinsic ambiguity in choosing a frame [2]}, [3]} when applying these notions to scalar-tensor theories, e.g. [4]}, since Weyl transformations simply do not leave curvatures and geodesics invariant.
